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Finding the Fourth Proportional to 4,601.77, 6,897.79 and 2,258.52

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Solution

The fourth proportional to 4,601.77, 6,897.79 and 2,258.52 is: 3,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.77 : 6,897.79 = 2,258.52 : x
  2. Step 2: Convert to fraction form
    4,601.77/6,897.79 = 2,258.52/x
  3. Step 3: Cross multiply
    4,601.77x = 6,897.79 × 2,258.52
  4. Step 4: Simplify right side
    4,601.77x = 15,578,796.67
  5. Step 5: Solve for x
    x = 15,578,796.67/4,601.77
  6. Step 6: Final answer
    x = 3,385.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.